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Finding the Fourth Proportional to 2,328.06, 3,212.22 and 1,698.74

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Solution

The fourth proportional to 2,328.06, 3,212.22 and 1,698.74 is: 2,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.06 : 3,212.22 = 1,698.74 : x
  2. Step 2: Convert to fraction form
    2,328.06/3,212.22 = 1,698.74/x
  3. Step 3: Cross multiply
    2,328.06x = 3,212.22 × 1,698.74
  4. Step 4: Simplify right side
    2,328.06x = 5,456,728.96
  5. Step 5: Solve for x
    x = 5,456,728.96/2,328.06
  6. Step 6: Final answer
    x = 2,343.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.